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Finding the Fourth Proportional to 10,200.90, 15,301.35 and 2,805.40

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Solution

The fourth proportional to 10,200.90, 15,301.35 and 2,805.40 is: 4,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.90 : 15,301.35 = 2,805.40 : x
  2. Step 2: Convert to fraction form
    10,200.90/15,301.35 = 2,805.40/x
  3. Step 3: Cross multiply
    10,200.90x = 15,301.35 × 2,805.40
  4. Step 4: Simplify right side
    10,200.90x = 42,926,407.29
  5. Step 5: Solve for x
    x = 42,926,407.29/10,200.90
  6. Step 6: Final answer
    x = 4,208.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.